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UID:8927@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20251202T110000
DTEND;TZID=Europe/Paris:20251202T120000
DTSTAMP:20251124T214210Z
URL:https://www.i2m.univ-amu.fr/evenements/fast-flow-rious-a-hybrid-ride-t
 hrough-phase-space/
SUMMARY:Philipp Krah (I2m): Fast & Flow-rious: A Hybrid Ride Through Phase 
 Space
DESCRIPTION:Philipp Krah: This talk presents a hybrid semi-Lagrangian schem
 e for the Vlasov–Poisson equation that combines high-speed accuracy with
  efficient structure preservation by merging the Characteristic Mapping Me
 thod [1] (CMM) and the Numerical Flow Iteration[2] (NuFi) approach. Both m
 ethods leverage the semigroup property of the underlying diffeomorphic flo
 w\, allowing the solution to be reconstructed by tracing characteristics b
 ack to their origins via a flow map.NuFi constructs this map iteratively\,
  preserving symplectic structure\, but with computational cost growing qua
 dratically in time. Its strength lies in a compact\, low-dimensional repre
 sentation tied to the electric field. In contrast\, CMM explicitly compose
 s the flow map from stored submaps\, achieving linear time complexity at t
 he expense of higher memory usage.The proposed hybrid method uses NuFi for
  accurate\, structure-preserving local updates and CMM for efficient compo
 sition of the global flow map. This combination enables fast and flexible 
 navigation through phase space\, while reducing storage demands and mainta
 ining precision. I will discuss the trade-offs involved\, the design choic
 es behind the coupling\, and demonstrate the effectiveness of the approach
  through numerical results.Authors: P. Krah (CEA)\, Zetao Lin (AMU)\, Paul
  Wilhelm (KUL)\, Fabio Bacchini (KUL)\, Virginie Grandgirard (CEA)\, Kai S
 chneider (AMU)References:[1] Krah\, P.\, Yin\, X. Y.\, Bergmann\, J.\, Nav
 e\, J. C.\, &amp\; Schneider\, K. (2024). A Characteristic Mapping Method 
 for Vlasov-Poisson with Extreme Resolution Properties. _Communications in 
 Computational Physics_\, _35_(4)\, 905-937.[2] Kirchhart\, Matthias\, and 
 R. Paul Wilhelm. "The Numerical Flow Iteration for the Vlasov–Poisson Eq
 uation." _SIAM Journal on Scientific Computing_ 46.3 (2024): A1972-A1997.
CATEGORIES:Séminaire,Analyse Appliquée
LOCATION:I2M Saint-Charles - Salle de séminaire\, Université Aix-Marseill
 e\, Campus Saint-Charles\, 3 Place Victor Hugo\, Marseille\, 13003\, Franc
 e
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Université Aix-Marseille\,
  Campus Saint-Charles\, 3 Place Victor Hugo\, Marseille\, 13003\, France;X
 -APPLE-RADIUS=100;X-TITLE=I2M Saint-Charles - Salle de séminaire:geo:0,0
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